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Finding the Fourth Proportional to 218,910.78, 302,081.70 and 123,397.20

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Solution

The fourth proportional to 218,910.78, 302,081.70 and 123,397.20 is: 170,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,910.78 : 302,081.70 = 123,397.20 : x
  2. Step 2: Convert to fraction form
    218,910.78/302,081.70 = 123,397.20/x
  3. Step 3: Cross multiply
    218,910.78x = 302,081.70 × 123,397.20
  4. Step 4: Simplify right side
    218,910.78x = 37,276,035,951.24
  5. Step 5: Solve for x
    x = 37,276,035,951.24/218,910.78
  6. Step 6: Final answer
    x = 170,279.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.